We first perform several experiments comparing with Guided-VAE [1]} in two attributes(Gender and Black Hair) and present the results in Fig REF . When changing each attribute \(s^i\in \lbrace s^1,s^2,s^3\rbrace \) , we keep other attributes representations and content representation \(c^3\)  unchanged. We use the third layer representation \(s^3\)  to control gender attribute, while the first layers correspond to the black hair and bale, respectively.
In the supervised case, compared to Guided-VAE, we use multiple dimensions to control an attribute while Guided-VAE uses only one dimension, which may lead to insufficient information to control the traversal results. And Fig REF  shows that our model has a broader range of control over attributes, especially reflected in the range of hair from pure white to pure black.
